24 citations · 109 across the 19 of their papers we have counts for
21 papers
On isoparametric foliations of complex and quaternionic projective spaces
Miguel Dominguez-Vazquez, Andreas Kollross
We conclude the classification of isoparametric (or equivalently, polar) foliations of complex and quaternionic projective spaces. This is done by investigating the projections of…
Totally geodesic submanifolds and polar actions on Stiefel manifolds
Claudio Gorodski, Andreas Kollross, Alberto Rodríguez-Vázquez
We classify totally geodesic submanifolds of the real Stiefel manifolds of orthogonal two-frames. We also classify polar actions on these Stiefel manifolds, specifically, we prove…
Representations of compact simple Lie groups whose orbit space has non-empty boundary
Claudio Gorodski, Andreas Kollross, Burkhard Wilking
We provide detailed calculations for the classification of representations of compact simple Lie groups with non-empty boundary in the orbit space, first announced in a previous pa…
Totally geodesic submanifolds in exceptional symmetric spaces
Andreas Kollross, Alberto Rodríguez-Vázquez
We classify maximal totally geodesic submanifolds in exceptional symmetric spaces up to isometry. Moreover, we introduce an invariant for certain totally geodesic embeddings of sem…
Actions on positively curved manifolds and boundary in the orbit space
Claudio Gorodski, Andreas Kollross, Burkhard Wilking
We study isometric actions of compact Lie groups on complete orientable positively curved -manifolds whose orbit spaces have non-empty boundary in the sense of Alexandrov geomet…
Polar actions on Damek-Ricci spaces
Andreas Kollross
A proper isometric Lie group action on a Riemannian manifold is called polar if there exists a closed connected submanifold which meets all orbits orthogonally. In this article we…